View source for User:CritDeathX/Sam's Neo-Gothic Comma

== Introduction ==
So, if you come over to my [[User:CritDeathX/Sam's 17-note Well Temperament|17-note well temperament]] thingie, you may noticed that I listed a comma in the ''Little Observations'' category. Making this into an actual ratio, its 2685546875/2675441664, and its the difference between six [[25/24]]<nowiki/>s and a [[14/11]], one of 6.52659708133c. Considering I never seen this comma anywhere else on the wiki, I shall take it upon myself and name it the neo-gothic comma, since 14/11 is a neo-gothic M3.

Now we look at the temperaments that take out this comma, aside from my own temperament.

== Temperaments ==

=== Rank-1 ===
<68 108 158 191 235] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=68&limit=11&key=68_108_158_191_235 68p]''

<87 138 202 244 301] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=87&limit=11&key=87_138_202_244_301 87]''

<103 163 239 289 356] [http://x31eq.com/cgi-bin/rt.cgi?ets=103&limit=11&key=103_163_239_289_356 103]

<121 192 281 340 419] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=121&limit=11&key=121_192_281_340_419 121]''

<190 301 441 533 657] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=190&limit=11&key=190_301_441_533_657 190]''

=== Rank-2 ===
<1 14 6 -28 3], <0 -27 -8 67 1] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=224_87&limit=11&tuning=po Emkay]''

<1 16 8 -2 17], <0 -33 -13 11 -31] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=87_190&limit=11&tuning=po Widefourth]''

<2 7 7 23 19], <0 -13 -8 -59 -41] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=224_190&limit=11&tuning=po Quatracot]''

<1 0 1 -12 -5], <0 6 5 56 32] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=87_121&limit=11&tuning=po Metakleismic]''

<1 6 6 12 -5 14], <0 -12 -10 -25 23 -28] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=87_19p&limit=13&tuning=po Clyde]''

<1 1 0 2 3 3], < 0 5 20 7 4 6] ''Neo-Gothic''

=== Rank-3 ===
<1 0 0 -6 13], <0 1 1 3 -3], <0 0 2 11 -13] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=171e_87_190&limit=11&tuning=po 171e & 87 & 190]''

<1 0 0 16 35], <0 1 0 -1 5], <0 0 1 -5 -17] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=171e_224_87&limit=11&tuning=po 171e & 224 & 87]''

=== Rank-4 ===
<1 0 0 0 19], <0 1 0 0 6], <0 0 1 0 -12], <0 0 0 1 1] ''[http://x31eq.com/cgi-bin/rt.cgi?ets=171e_190_224_87&limit=11&tuning=po 171e & 190 & 224 & 87]''

== Scale Tree Graphs For Rank-2 Temperaments ==
http://www.microtonalsoftware.com/scale-tree.html?left=11&right=13&rr=1200&ioi=551.7746 ''Emkay''

http://www.microtonalsoftware.com/scale-tree.html?left=7&right=9&rr=1200&ioi=524.2098 ''Widefourth''

http://www.microtonalsoftware.com/scale-tree.html?left=7&right=10&rr=1200&ioi=176.8061 ''Quatracot''

http://www.microtonalsoftware.com/scale-tree.html?left=4&right=7&rr=1200&ioi=317.3111 ''Metakleismic''

http://www.microtonalsoftware.com/scale-tree.html?left=3&right=8&rr=1200&ioi=441.3634 ''Clyde''

http://www.microtonalsoftware.com/scale-tree.html?left=8&right=9&rr=1200&ioi=138.718618248 ''Neo-Gothic''